How do you solve #log_2 x = log_4 (x+6)#?
Using the change of base rule we have that
We have to use the properties of logarithms.
which is thus reduced to a quadratic equation which can be solved by the quadratic formula to get the two roots:
Make both sides have a base of
Notice that on the right side, the
Remember this logarithm rule.
Like before, the
Remember that in